Lots of members up by you, in case you need a hand.
That’s a later model 034, as it has the side chain adjust. Also has the small air filter and tall tank vent. When the 036 went to the PRO designation, they changed the covers and filter/tank vent. Never saw any “new style” 034, only 036 and MS360.
Measure the bore with a drinking straw or chop stick, push it all the way to the intake side of the bore, then turn flywheel and crimp it with the piston crown. Take out straw and measure. Should be 46mm, but you never know. 034 standards with the side adjust are reported to exist, but I’ve only personally seen supers with the side adjust.
Your most important issue is to go through that entire saw and see WHY it’s scored. If you don’t do that, you’ll just ruin your next piston and cylinder. Go through it and report all here, members will help you through the build.
If the intake boot and AV mounts aren’t torn, they are fine to reuse. The fuel line is another story, it should be replaced, but you likely need the old style straight line which is tough to find. The tank can easily be drilled for the larger new style “S” line.
Lots of stuff to cover. Takes lots of pics and post questions here.