1) The word 'whoever' is being used as a direct replacement for the person's name. For example:
"The purple thingie on the file means that Steve is one of yours"
using 'whoever' in this way is very rude/low informal. We can also replace the name with things like "what's-her-name" (for people) or "thingie", "whatsamacallit" (for objects).
Your example sentence is gramatically correct, and significantly less impolite.
'... and everything' is used to exaggerate the features of an object. For example, if I have a new car, I might explain how it has a sunroof, air conditioning, a back massager and everything. In this case it's obvious that Wilson is a doctor - House is pretending to be impressed by his diagnosis by talking about how good at figuring out symptoms he is.
In general, 'doing' is done with illegal drugs. You 'do' cocaine, you 'do' heroine (there are other verbs we might choose to use as well). By House saying he 'did' 1000mg, he is making fun of his own habit of misusing medicine by pretending it is an illegal drug.
2) I'm guessing that it's to do with football formations. Generally, when planning your football team's strategy, you tend to allocate some players to be in the back (defenders), some people in the middle (center), and some people in the front (attackers). A common description of a team's strategy would be "They've chosen to go with three up front" (they have three players attacking).
In this case, they're making fun of the fact that they put a tree at the front of the football field, and the word 'tree' sounds like 'three'.