no, they are treated as spells
Relinquished is Ritual Summoned with the Ritual Spell Card Black Illusion Ritual. It requires a monster as a Tribute to Special Summon Relinquished from your Hand. Once Relinquished is successfully Ritual Summoned, if it is sent to the Graveyard, it is eligible to be Special Summoned from it. You cannot Special Summon Relinquished from the Graveyard unless it was successfully Ritual Summoned first.
Relinquished can only ever initially reach the field by being summoned from hand, using an appropriate Ritual Spell Card - or by any card that specifically lets you summon a Ritual Monster from other zones.Relinquished cannot be special summoned from deck by cards like Reasoning, or Mystic Tomato, etc.
No, the Crystal Beast goes to the graveyard if tributed. Crystal Beasts only get to choose to go to the S/T zone if they are 'destroyed'. Tributing, or 'sending', are not destruction effects. Effects that destroy will say so on the card, and also monsters can be destroyed by battle.
Currently, there is no possible way for this to occur.Uria, Lord of Searing FlamesFire/Pyro/EffectATK/0 DEF/0This card cannot be Normal Summoned or Set. This card cannot be Special Summoned except by sending 3 face-up Trap Cards you control to the Graveyard**. This card gains 1000 ATK for each Continuous Trap Card in your Graveyard. Once per turn, you can destroy 1 Set Spell or Trap Card your opponent controls. Spell and Trap Cards cannot be activated in response to this effect's activation.**This sentence implies that Uria, Lord of Searing Flamescan only be Special Summoned from your Hand. As a general rule, unless the card specifially states that it is Special Summoned from the Deck, you can assume that it is referring to your Hand.
No, they can only enter the S/T zone when an effect places them there. They usually go there when destroyed, as per their own effect, but Sapphire Pegasus can place them there from deck too.
no, they are treated as spells
Crystal Beasts in the Spell and Trap Card Zone can be treated as Continuous Spell Cards, allowing you to activate their effects and send them to the Graveyard when destroyed. This means you can activate their effects from the Spell and Trap Card Zone, like summoning Crystal Beast monsters from your Spell and Trap Card Zone. Just remember, they can't defend your Life Points like a good ol' fashioned Trap Card.
Because it is an 'only be special summoned by..' monster, that means it can be special summoned by cards like Monster Reborn, after it was summoned properly but was destroyed. Note that a field spell card is in no way part of Malefic Blue-Eyes White Dragon's summon condition. MB-EWD will simply be destroyed if it is ever face-up on the field, and no Field Spell Card is in play. So if Monster Reborn was used in this case, MB-EWD would be special summoned, and then destroy itself.
Relinquished is Ritual Summoned with the Ritual Spell Card Black Illusion Ritual. It requires a monster as a Tribute to Special Summon Relinquished from your Hand. Once Relinquished is successfully Ritual Summoned, if it is sent to the Graveyard, it is eligible to be Special Summoned from it. You cannot Special Summon Relinquished from the Graveyard unless it was successfully Ritual Summoned first.
No, only from your hand. They can be special summoned from graveyard by cards like Monster Reborn if they were properly summoned initially before they went there. However you can't resummon them from the graveyard with their Ritual Spell Card.
Beasts, You spelled it right
No, they can not be used for Tribute Summons. The one scenario that they could be used as Tributes is to summon "Hamon, Lord of Striking Thunder" since Crystal Beasts in the Spell/ Trap card area are treated as Continuous Spells.
When a card, such as Spell Striker, requires an action to be Summoned, the action will almost always be performed first before the monster is Summoned. Therefore, concerning Spell Striker, to Special Summon it, you must remove one Spell Card from play first, then you place it on the field afterwards.
Relinquished can only ever initially reach the field by being summoned from hand, using an appropriate Ritual Spell Card - or by any card that specifically lets you summon a Ritual Monster from other zones.Relinquished cannot be special summoned from deck by cards like Reasoning, or Mystic Tomato, etc.
You can't special summon Green Baboon when a Beast monster is destroyed while it is somehow in the S/T zone, by either being equipped by Relinquished, or go there themselves like Crystal Beasts. The reason is, they are destroyed as Continuous/Equip Spell Cards, not as monsters, even though they revert back to monster cards when they're in the graveyard.
I use a crystal beast deck and its awesome but my friend josh just made this badass D.D. (different dimension) deck and it usually wins against my crystal beasts. The thing that makes crystal beasts effective is is the effect they all share which is when destroyed, they can be put in the spell and traps area so he uses dimension fissure and macro cosmos. Dimension fissure removes your monsters from play when they are destroyed so if your opponent uses crystal beasts he/she cannot put them in spells and traps. Marco cosmos removes all used/destroyed spells and traps from play. When playing against a crystal beast user, these cards are espicially effective and can keep your opponent from summoning rainbow/rainbow dark dragon (I dont use it but most do) or using the magic card crystal abundance ( user must have 4 crystal beasts in spell and trap card zone to activate and by sending these to the graveyard every card on the field is destroyed but the user then gets to summon as many crystal beast from the graveyard as the number of cards destroyed on your side of the field) or the trap card crystal raigeki which lets you send one crystal beast card (as spell card) to destroy one card on the field)I agree with most of this answer, however using Dimensional Fissure as a counter to the crystal beasts is not as effective as you seem to think. Dimensional Fissure states that "Any monster sent to the Graveyard is removed from play instead." Whereas the Crystal Beasts all state in their effects that "If this card is destroyed while in a monster card zone you can place it face up in your Spell and Trap Card Zone as a continuous Spell Card instead of sending it to the Graveyard." Therefore the Crystal Beasts can be chosen to never be sent to the graveyard by their effect and so cannot be removed from play by Dimensional Fissure. However Dimensional Fissure, Macro Cosmos, Banisher of the Light and Banisher of the Radiance are still effective at countering the summon of Rainbow Dragon.