Severe Battery Drain Problem iPhone 5S
Hello guys, I'm just new to the forum and I'm searching for a possible answer to my problem:
The problem started a few weeks back, maybe 2 months. I was charging my phone one day and it was fine until later on in the day, my battery was going down so fast unbelievabl I thought maybe it's just a temporary problem so I decided to hard reboot my phone, home and sleep/wake button of course. I turned it on and the battery percentage was different, and each time I turned it off and on again the battery percentage would be different, strange. So I decided to replace the battery (since the phone was bought on eBay, but it was fine until like December from May last year). So I replaced the battery but the same thing was going in, and while that happened my charging port started to act up though it wasn't damaged at all, it wouldn't accept the same ungenuine apple lightning cable. I had 2 of the same ones and one of them would work and the other not. I decided to change the charging port which resulted in not accepting any ungenuine Apple cable which forced me to buy an original one, and it works fine (though for my friends iPhone 6S the ungenuine work fine). Anyway back to the problem, I replaced the battery again now to a new genuine Apple battery, which the guy assured me was genuine as he was replacing it. Though the problem still persists, last night I left my phone at 70 something percent to see if it lasts, and no it didn't though it should be at least 30/40% still as I remember if I left my phone at like 90% i would wake up and see it would still be at like 75/80%. I have tried restoring through iTunes but I still used my backup to restore which may be the problem, my keychain is off. I haven't tried fresh restore without restoring the back up, I would rather ask here because someone may know the answer to this.
P.S My phone gets quite hot when I charge it and when on 3G, sometimes very hot.
Thanks in advance.
iPhone 5s, iOS 9.2.1