MagSafe blinks green and doesn't charge?

The other night I noticed my MagSafe blinking green for a second then off for a second intermittently (now that it's dead it blinks every two seconds or so?), didn't really think much of it until I opened my laptop the next day and saw the battery was down to around 60% even though it was plugged in all night. Tried playing around with the charger, tried different outlets, tried resting the smc, took the bottom case off and unplugged the battery and plugged it back in, and nothing seems to work. I thought the battery might be done because while trying to fix this I noticed I was over 1100 cycles now and when I clicked on the battery icon it said to replace it soon, but even still the computer should work fine while plugged in shouldn't it? Curious if anyone knows what's going on and what could fix it, hopefully for free as just last week I spent a bit of money to replace the hard drive cable and don't really want to put much more money into a computer if one things gonna go wrong after the other.