broken!

so i have a macbook (circa 2007, with 10.4) that has had a broken monitor for about 3 years. i've had it hooked up to my tv while saving up for a new screen/macbook. well the 2 weeks ago, the battery expanded and popped out. i got a new battery and hooked it back up to the TV just like i had before except now the TV just says "no input". it also won't connect to the internet automatically like it used to, i used logmein to remotely access it from time to time and now it wont show up on logmein. please help!

 

that's what i was afraid of...

brand....i'm obviously not capable of diagnosing and repairing it myself, hence the reason i'm on here looking for help. I was hoping to find someone on here who's had a similar issue, not a wise*ss telling me to take it to the apple store.