The Summoning level, by itself, does not influence combat level. However, when you train Summoning, you'll also gain some other combat experience - usually Attack or Strength - and that influences your combat level.
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To get your hitpoints level up in RuneScape, you must gain the appropriate amount of experience points that it says you need. That means you have to do a lot of combat related things, such as melee, magic, or range. Those skills will train your hitpoints when you use them.
High level players do just sit there and attack things, there are particular things that will level faster than others, i can recommend rock crabs, they are lvl 13 but they have 50 hp each so that's 200 xp per kill to your chosen combat skill. also after completing 'Creature of Fenkenstrain' you will gain access to 'Experiments' they are level 25 with 100 hp each, that's 400 xp per kill. finally, the slayer skill is an excellent way to raise your combat level. i am level 97 :) i mostly attack things ^_^
It evolves at level 42. You gain new attack, called Focus Punch.
It is a good way to make money if you are good at it. It is not a particularly good way to gain experience points in combat compared to training on monsters, because you can only fight players who are fairly close to you in combat level (this is even more problematic if you are a strength pure and are fighting a balanced player or one with very high defense).
You gain Hitpoints xp every time you engage in Combat. Whenever you hit someone/something, or get hit, you gain a small amount of xp, rarely more than 1 or 2, one reason why Hitpoints is a very slow skill.