How is this remote attached to the wall?

Two screws - the remote slides down onto the top screw and the bottom screw secures the remote in place.

Can someone tell me what a learn button is?

On the back of the motor head normally under a light cover is a learn button green, orange/red purple or yellow in color it will be on the side that the antenna is hanging down

Will this work with a sears red button?

Red - probably is orange - Yes it will work go here for product: https://www.amazon.com/gp/offer-listing/B00LBGVLS2/?seller=A1X4TP6XBDGINV

I have a very old garage door openener. it is a sears best craftsman 1/2 hp model # 41a3493. will this product work with my system?

Hey Leslie-If you have a programming button that is; green, red/orange, purple or yellow than you're good to go. If it's a different color please let me know and we can direct you to a different product.Thanks...Matty

Manufacturer	LiftMaster
Country of Origin	USA
Item model number	877max
Product Dimensions	20.32 x 7.62 x 0.13 cm; 58.97 g
ASIN	B00LBGVLS2

877MAX Wireless Keyless Entry System

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