The timing marks match on the crank and the cams, match with the marks on chain but the little chain behind that does not match with the marks on the chain, and the car only has 57000 miles on it. it also has a code of random misfirer, replaced coil and plugs. what to do next?

The marks on the chain are for your convenience i.e. no need to count links between crank and cam(s).

The chain markings shift depending on the number of links in the chain and number of teeth on the crank and cam gears, but the number of links (rotational distance) between crank and cams remains the same.

Once you turn the crank it it may take dozens of revolutions to sync back to the marks on the chain, unless you reverse the same number of revolutions.

So if you want to recheck timing after multiple crank revolutions, you need to count links from crank to cam and cam to cam or redo the timing procedure.

Think of it this way... you could stretch a chain around the moon and timing will be good but it will take hundreds of thousands of revolutions before the marks return to earth and likely still not in sync with gear marks.

In the old small block days no one counted links because crank and cam gears were adjacent, in the same planes and timing intuitive.

All crankshaft pulleys have a timing mark. However, the actual marks can be different between manufacturers. Some have a notch cut on the rim of the pulley others have an arrow or a Dot stamped or moulded on the face of the pulley.
If your replacing a belt, line up the Cam marks and carefully examine the Crank pulley. You should be able to find the marks for the pulley and it's matching mark on the engine block. Some timing chains use marks on the pulley and marked links on the actual chain. I think yours might be a plain round dot or dimple on the raised face nearest the chain teeth.
*Note* The matching crank marks might not be at TDC on the actual pulley.
Some pulleys are stamped with extra marks to help set the advance and retard on the engine. Give the face of the pulley a good clean with a wire brush as sometimes dirt and surface rust can hide the mark.

The marking on the casing is factory rong, check your piston on TDC & adjust your mark for the teeth

There are timing marks on the cam shaft and crank

Timing belt or chain?
If you have chain align the dark mark of the chain to gear marks and release the tentioner . after you turn one time the mark wont match to the chain for long time.
if you have belt. the marks are on the dots on the head and block and will match every second turn on crankshaft
after you install belt/chain turn with hand ,don't start till you're sure the piston don't touch the valve .
with chain you can mark a dot on the block and head with marker to see if will come back to the same spot on same time crank and cam but is not accurate .
good luck

place no 1 piston at TDC compression stroke. There are procedures for the timing of the balance shafts but if it is only the timing chain I will go to that
Align uniquely coloured chain link with intake camshaft sprocket timing mark-- INT--. ( this will be pointing at the 2 o'clock position)
install timing chain and sprocket as an assembly
align first matching coloured chain link crankshaft timing mark (5 o'clock position)
align the second matching coloured chain link with exhaust cam shaft timing mark--EXH ( at the 11 o'clock position
There is a special procedure to reset the balance tensioner and it is different to the timing chain procedure.

To reset cam shaft timing chain tensioner push piston fully and turn clockwise until locked
Once the tensioner has been compressed ensure the distance from end to end is 2.83 inches . If not repeat the resetting process
vehicles 30.000 miles the tensioner is released when the engine is first started . In vehicles over 30.000 miles manually release tensioner by tapping the plunger
Note cam shaft and crank shaft sprockets bolts MUST only be used once. If you want details on the balancer chain procedure then make a comment in the box
use tension wrench and a degree gauge
cam bolts are tensioned to 63 ft lbs + 30 degrees
crank shaft pulley is tensioned to 74 ft lbs + 75 degrees

There are marks on the crank pulley to align with mark on the sheet metal cover behind the pulley.
Exhaust cam sprocket has mark that aligns with mark on valve cover.
16 chain links between marks on cams. The square marks on both cams align with triangle marks on the cam hold down bracket.

there are lines on the cams that need to line up with each other in the center and there is a mark for the crank gear that you line up with the little triangle mark behind it.If you line up the white mark on the crank pulley and have the valve cover off so you can make sure you dont have the engine 180 out and dont move anything once you remove the tensioner you should do fine.

i think u will find the marks for timming on the front of the engine block to go with marks on ur crank pully

i number 1piston which is the front one on the passenger side has to be all the way up and then 60 degrees past that, there is a mark on the crank that matches up with an arrow on the oil pump housing, the driver side cam sprocket has an arrow on it, and the passenger side cam sprocket has a hole in it which is its timing mark, on the chain there are 4 gold link, a single gold link goes on the crank timing mark, a single gold link goes on the passenger cam sprocket timing mark, and the double gold links match up with the driver side cam sprocket timing mark