don't use FB anyway , but here is little thought
1. you said browser, did you try any other browsers ?
2. why don't you use FB client application ?
3. does any other 4.4 ROM have same problem (like Omni or CM build) ?
4. maybe you should ask FB for support instead of here ?
if my words are useful or helpful to you , i will appreciate it you click thanks button
Nexus S GT-I9023 (died due to BOOTLOADER error / 12 months) ---> Galaxy Nexus GT-I9250 (accidentally and sadly lost / 2 months) ---> Galaxy S III GT-I9300 (be robbed, thanks to the Fuc.king Spanish Public Order !!! 2 months ) ---> Galaxy Ace GT-S5830 ---> Galaxy S III GT-I9300 (second one , hope won't get robbed again !!!)