i went to the market and saw apps like Google plus and adobe photoshop.. and the description shows that prevents the phone from sleeping. is that bad?

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MIUI one is different

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I'm on stock KI1, don't see any significant difference between it and the KH4. but do take this with a grain of salt as i have only used KH4 for a day.

But do bear in mind that the 3 that u mentioned are kernels, not roms. read page 1 for differences between rom and kernels.

And yes the rooting method is the same, you just have to make sure that you are flashing the correct kernel to prevent bricking your phone.

Here's a thread where u can find insecure kernels for rooting
http://forum.xda-developers.com/showthread.php?t=1101671

with both Papago and Sygic ..Which one you guys think the GPS lock more faster ?

I found Sygic is more faster to get lock on the other hand Papago take longer time to lock.

Map wise..Papago is more updated cos it can be update time to time via malfreemaps

i don't quite get what you mean about the data connection part. Did u mean battery life is better on KH4 modem? Battery life over one day is impressive but i see your phone was awake quite alot? As for the wakelocks, are those all or there's more below? After rooted and using tb to freeze some apps i kind of get better battery life, as in i don't see that much of awake time when my screen is off. But the number of wake locks did not reduce, still getting like 30+ but most of them just lasted for few seconds so i guess it's okay. Really don't have the time to crack my head to look into it. =/

Auto backup drain batt (or at least thats what people reports). I always turn it off. along with all auto syncing and samsung app updates.