Yes...Thats basics man...jks
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Yes, you can attack with the Tribute Summoned monster unless a card effect tells it not to or it is after the Battle Phase.
Yes, assuming you did it in Main Phase 1.
Yes, you can tribute monsters for card effects and Tribute Summon the same turn you summon a monster. However, you cannot Normal Summon a monster and Tribute Summon on the same turn because you can only Normal Summon once per turn. Cards such as Double Summon and Ultimate Offering will let you do that.
Not quite. A Synchro Summon is a Special Summon. A Tribute Summon is the same as a Normal Summon, except that when you Tribute Summon you need to tribute monsters. Also you can Special Summon as many times as you want to in a turn, whereas you can only Normal Summon OR Tribute Summon once per turn, except with a card effect.
A tribute summon is a form of Normal Summon. So that means you can only tribute summon OR normal summon ONCE per turn.