Seeing as you are new to
vaping, there are a few possibilities here:
First of all, a fully-charged ego batt will have a bit more voltage than one that has been used (+/- 0.5v). So it IS normal for a fully-charged battery to vape a bit hotter for awhile. Are you using the Ego-C
tank system/tank atomizers? These are known to be a bit inconsistent (sometime you will get dry hits, etc.), but when set up properly they usually work just fine. Make sure the tank-tip is full before placing in the cone. Here is a thread with some more info:
http://www.e-cigarette-forum.com/forum/tank-issues/277879-ego-c-dry-hits.html
As far as the charger goes- using a usb charger to charge the larger Ego batts can take quite a long time, depending on the power output of the usb port you use. A standard usb port on your pc *may* not supply as much power as a cell-phone usb wall charger would. I've run into this problem before myself. The other, less-likely, problem might be that the onboard protection circuit is faulty on the Ego batt- seeing as it is a brand-new battery AND that it is still functioning, that is not all that likely to be the case, but possible. Does the battery get hot when you charge it? A little warm can be all right, but it should not heat up a whole lot.
If you think the battery is faulty, you might want to send it back. It IS possible to test the voltage on a multimeter, but it is also an easy way to activate the protection circuit on your new battery and essentially "kill" it. I wouldn't recommend trying this unless you do a lot of research here on the forums first- in fact, I wouldn't try it myself, and I have a decent amount of experience using a multimeter for e-cigarette-related purposes. Ego batts are a bit sensitive compared to regular lithium cells due to their onboard circuitry.
I hope I gave you some leads as to what's been happening- Good Luck! Welcome to ECF!