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One more thing to check in electrical are the fuses. With age and vibration they sometimes fail intermittently which can cause everything from lighting to go out to the bike not running so you are now walking (Yes it happened to me). There aren't many of them so replacement is cheap insurance.
If you have an electric meat carving knife it will cut the foam effortlessly.
I have also had good results cleaning with Elmers orange poster tack putty rolled into a cylinder then rolled firmly tangentially over the records which I often get at garage sales and thrift store. Do make sure to have a good flat surface and a minimum of a clean plastic sheet below the record. This method generates a lot of static charge on the far side of the record so a clean surface and plastic are a must.Then clean with cartman550's cleaning fluid & microfiber method below which will dissipate the static. A record played dirty will have permanent damage.