Auto brakes will normally kick in faster than your manual braking, Rana, and the -800 has anti skid and locked wheel protection even if you use manual brakes. Hitting your brakes will not blow the tires unless there is a malfunction of some sort.
Now, if the anti skid is inop, then you have a problem if you are runway limited. Manual brakes in that case will very likely pop a tire or two.
I would never land in i.e. old Hyderabad in the rain with less than auto brake 3 on a heavy -800. Not Bombay RWY 27 either. It's not because I can't brake myself, but because the A/B system works very well. Particularly on a rain soaked, uneven surface.
As for aborting a landing after touch down? This is not a touch and go with "stand them up" and flaps 15 and away you go. It's an emergency procedure if you are in a very, very bad situation with no other options. Only one thing to do, firewall the throttles and hope you make it.