Recently did engine overhaul but the timing chain gets loose after a few km drive and starts making noise nissan z24 single chain

If the battery is OK the next thing to check is the starter motor itself. It usually shows as a single click or lots of fast clicks?
For the overheating, how long after you start the engine does it start to overheat? If it takes a while, usually as the engine starts to get up to working temperature, the first thing to check is the thermostat. This is the most common thing to fail especially on higher mileage engines. Do this first as it's the cheapest fix.
Next check the serpentine/Auxillary belt. A worn or damaged belt can slip slowing the pump down. This can also show as battery charging issues.
Another cause of overheating is the waterpump failing. This can commonly be heard as a whine, chirp, or a squealing noise especially on a cold start. It can also often, but not always, be see below the pump as staining from it leaking.

NO control told or miles on engine (KM) odometer.
what is a hardbody, a Pickup , not in USA are you? no country told

SO YOU POST TO THE BLIND AND DEAF THIS.?
why not ask a live hands on service tech to check it out and not blow up a still good engine, why NOT?

yes the pickup truck hardbody means double wall bed.
my guess engine is 2.4L 4-cylinder KA24E
a specific engine that.
KA24DE 2003.
the DOHC<? twin cam is buckets over valves cam direct via CHAIN those are bucket lifters only, and only make noise if it sucks a valve.
ever, oKay
the chains can fail 200k miles, or KM equiv.
if you allow most DOHC chains or belts to fail the engine valves are bent over and worse.
so learn to get that checked out and not ask the deaf ever.
do not delay , IMO ID not drive, it at all , or go to the mech shop now. no delays.

os there something in the repair manual
about the Z24 oil pump cam being in alignment

Remove the distributor by removing the two mounting bolts to the timing cover. This will keep your ignition timing intact. Fit the oil pump and drive spindle together and install so that when you look down on top of them the spindle is aligned like below.

Did you replace all the timing belt tensioners?

Wheel nuts loose, or stones in hub caps, do you get the noise rolling down hill ? , if not its engine, retrace your repair.

Is there a chain drive to overhead cams? If so, maybe the tensioner, chain or gears are bad.

need to know the clearance between gears and timing cover they may even have a cover to work at parts store

ck compression sounds like a blown head gasket between 2 of the cylinders

Sounds like a timing chain issue, eventually the tensioner builds enough pressure to quiet it. Also check all chain guides, they get damaged with chain noise like what you describe.

It definately has the miles to need a timing chain. but yhe steering problem has nothing to do with it. Mechanics are like Dr.s Get a second opinionfrom someone that is more for you than the buck.