Daddit...about to become a dad..I have some questions and looking for some advice..

I recently found out that my friend is pregnant with my child. Well...to be honest she's more of an acquaintance/fuck buddy of sorts. She lied to me about being on birth control as I didn't have condoms on me, she wanted to have sex so she said she was on birth control. Thinking she was on birth control, we ended up having lots of unprotected sex together and alas, now she's pregnant.

As bad as it sounds, we really aren't close to each other..we were just attracted to each other sexually and we just had an extended hook up of sorts. She wants to have the child but doesn't want to be a mother so she recommended the idea of adoption. I thought about it for a while and just...can't...do that. This child is a part of me and I want to raise him/her. I have a job in the USAF and I know that it'll be hard to be a single dad but I'm willing to do whatever it takes to make my child happy...it'll be hard as his/her mother won't be a big part of their life but I hope I can give my child all the happiness they deserve.

If I plan to raise my child could I get sole custody and could the child have my last name? If anyone has any advice or words of wisdom I'd appreciate it. Its a difficult situation but it'll be worthwhile in the end.