Need help with finding parts on Digikey, PLEASE!!!
 

My transmitter for my underground dog fence crapped out on Friday. I desoldered the 2 components that I found were bad. 1 was a capacitor and the other was a transistor. The numbers I got off the parts are as follows.
The capacitor read:
Jimson
104k250v

The transistor read:
2N
5401
Y-F33

How do I look these items up on digikey or anywhere else??

The transistor is a 2N5401

The capacitor is a 0.1 uF 250V, 10% tolerance
However depending on where in a circuit it is, the capacitor may need to be a specific type (e.g. ceramic, polyester, polypropylene). A nice closeup photo would help.

How do you know these parts are bad?

I know they're bad, because they exploded. None of the other components showed any signs of damage or heat discoloration. I'm hoping that if I replace these parts, my transmitter will work. There is 2 lights on my fence transmitter, one for power, and one for "loop". None of these lights would come on. My transformer that plugs into the wall was blown out, so I bought a new one at Radio Scrap. When I arrived home, I plugged in the new plugs and I got the power light to come on, but no loop light. My fence has continuity, so I pulled apart my transmitter to find those 2 blown'd up parts.
Thanks for your parts translation. I'll try to get some photos by lunchtime.

Here's the photos after I removed the parts. Could someone shed some more light on what I'm looking at? The capacitor didn't have any numbers on it, so I got the numbers off the cap in the photo that is still on the board. I figured it'd be the same since it was right behind the defective one. Same story with the transistor...
Attachment 22384

Attachment 22385

The first photo is a polyester aka mylar capacitor. How do you know the blowed up capacitor is the same type?

The transistor is a TO-92 package.

I don't know it's the same, just a guess. I figure, I replaced the unit already, but if I can repair this one for under like $10, I'll do it and keep it for a spare.