Samsung Times Square is ur last resort i guess. but make sure u pretend ask there got two sp inside & the price is 39. 

sold out samsung timesquare..called and ask yesterday

I concur. Was travelled from LYP to times square back to LYP just to get something cover the screen yesterday.

Habis habis dijual!

Just wondering the hot Samsung screen protector selling at RM39, is it the tempered glass type screen protector?

report here..
http://e-aduan.kpdnkk.gov.my/eaduan/aduanbaru.php?lang=2

Hi, I'm a Note 3 user, but I did experienced what you described here before, can feel the heat even the phone was in pocket or in my bag. Then I only found out the culprit was my external MicroSD card. The faulty card keeps the phone mount and un-mount the card, making the phone extremely hot and battery level dropped very fast. After removed the MicroSD card, the phone and battery operate normally.

What I'm trying to say is, there might be "something" in your phone that is running in the background or cataloging items (maybe picture thumbnails?) that causing your phone to get so hot? I don't think it is normal for a phone to get so hot when you simply put it in your bag.

Why not go to Settings page and check which apps or services is running and sucking up most of  your battery power? Because you said your phone lagging and poor battery life, which should not happen in a new phone.