OK, let's see if I can provide you some feedback...
1. I hate to say it but, no. The market really needs a "new" or "recently added" section to make this easier. I do, however, discover new games/
apps thanks to sites like this one! So, one way to let folks know about your
apps, is to let sites like Android Central know about it or by posting here!
2. It's a mix here. If a game is recommended by an Android forum member or by an article on the page, I will definitely check it out. I also browse the market for games in the categories I like (or just type searches).
3. Since I am mostly playing games on my Prime now, resolution would be the thing. Some of the games do not scale very well. I suppose now that phones have resolutions that match current tablets (ie, 720p), this may start to change. I don't see force closures very much with any of the games I have. For certain games, the control scheme is an issue, particularly with on-screen controls. The tablets deals with this much better than the phones, however.
4. This depends on the game. Some games are ports of known games, so I just "wing" it. Others, I will read so I know what the heck I'm supposed to be doing! I've found that if a game offers the instructions on a tutorial or as pop ups, that's when I find them most useful.
5. If I just like it and I find the price to be "right," I just buy it. I much prefer to pay for a game than have ads on the screen. Of course, that doesn't mean I'll pay any price for a game on my phone or tablet. I do like, however, to be able to test a game without having to pay. So, generally games that have a free version for trial are the ones I pay for the most if I like the gameplay.
6. Don't really play these type of games.
7. Single player.
8. Most from the Android Market. Some from Amazon.
9. Not really. I play games for the fun of it, not for competition. Besides, I quit Facebook since I started using Google+!
10. Absolutely!
I hope this is helpful and not too long-winded! LOL