I cannot find a IPL for your mower model 42802A and I've had to contact Murray when I got into such for their mower models on their site and they would reply in about 5 days with info. I've never called them.
That gunk the kid is talking about is a bushing that is ground up, completely gone. The grease seal at the outer end is suppose to keep dust out, not any grease flows to that seal area. I put little bit of 90W oil in the gear box along with lots of EP2 grease when I'm going back together with new bushing and I replace the outer seals if they are bad. I do not put very much oil because the unit is not designed to seal oil.
I suspect your peerless is not a several gear peerless like the kids, yours is probably just FNR or maybe 2 forward gears Low and high and the spider gears that he is going to weld is in a sealed unit on the FNR types and are not designed to be taken apart at the spider gear area, but I've ground the heads off the 4 torx bolts and replaced spider gears and axles, taking two or three units and making one good one. When you are putting it back together and before snugging any case bolts, stick the drive pulley on the input shaft and start rotating it as the case halves are going together and if you feel any binding at all it's not ready for the case halves, to be snugged up, all the bushing around the gears is not seated in place in the lower housing usually and if one of the bushings is out of place you will have to lift up the gears, wipe the grease off to see the index tab for the bushings. Once the upper case housing drops into place and the input shaft turns freely you can turn the input pulley and check the shifting, etc before you snug up all the case bolts. If getting another transmission , even for parts keep a heads up, their are at least two type of axles at the outer end, for differnt type wheel rims, some are half moon and some are keyed. Where you see the guy mentioning the ID tag is where some are just stamped and some have a glued on tag that is gone.
I'll try to upload you a general idea parts list I have, it may not match yours but it will give you a parts IPL idea.
Might be later today before I can do such.
Summary:
Call or contact Murray for your Mower or see if 38's racing upload has the correct info,