Calling all circuit board gurus. Repairing a circuit board for a garage heater

I am in the process of turning part of an 1880 barn into a workable shop space, all while keeping the charm of the old place.  I live in New Hampshire and will be heating the enclosed and insulated space with a Toyotomi Laser 73 heater (think monitor but modern).  I have used these before and found them to be efficient and easy to use/program.

I have an old monitor heater that I needed an exhaust/vent for.  To the rescue was Facebook Marketplace.  The guy selling the exhaust had a 1 year old Toyotomi that burnt the circuit board in a power surge.  The little 5amp fuse burned up as it was supposed to but the noice cancelling capacitor next to it along with a resistor burnt up as well.  The rest of the board looks brand new, as it should for a one year old heater!

I can find the capacitor listed online but there is no place to buy them, same for the resistor.  Where do you guys go for such things?  A new board is $325 and I figure I can solder well enough to replace them if I had the parts.  Any insight or assistance would be great on where/how you guys go about repairing these things.  I know a bunch of you build Microsquirt so I am sure this is a piece of cake compared to that!

Thanks for your help!  Here is a pic of the damage.  The underside of the board shows no marks

Here is another pic

I happen to like digikey.  Back in the day, they used to mail out catalogs the size of phone books.  

LF1 looks like an inductor.  While scorched, isn't that pretty much just a coil of wire around a piece of iron?  In other words, check it for resistance, if its not open, it might still work fine.

SA1 - I have no idea what that guy used to be.  Looks pretty scorched, I hope you can read the printing on the top.  Is it a switch of some kind?  

tip - often times there is a conformal coating on the lead-side of the board.  Just use an x-acto to scrape it off before you de-solder these components.  

Digikey or Mouser can supply components.

I’ve bought from both Mouser and Digikey.  When I need to by individual components for repairs like this, I like to order several of each item. The cost difference is small compared to shipping cost. So if I needed a cap, a resistor and an inductor, I’d probably order 3 of each just in case. 

Digikey actually has an office one floor below me.    Newark is one other option, or check in your area for surplus stores.

Electronic components Change part numbers on an ungodly fast basis. You might need to chase the cross reference several times in mouser or digikeys catalog by clicking through the descriptions.

Micro center in You Do It Electronics in Needham Ma (right off 95) has a very good selection of electronic parts. Often times the replacement will look different. 

Thanks everyone for the quick responses! I will look into all of those sources!