Briggs and Stratton 18.5 Twin Cylinder Won't Start

So like a dumbass I was jump starting this new to me lawnmower I purchased for $250 with a dead battery, well in my rush I crossed wires and killed something. I've replaced the ignition switch, and the started solenoid with no luck. Funny thing is I found a button inside the engine bay that if I hold it down I can turn over the engine but even when doing this the engine will not stay running it will just briefly fire up.

Here's some engine specs

Model: 42a707
Type: 1237 01
Code: 95012558

Here are photos of the switch I found that if I hold I can turn the key and it will start the engine but won't stay running, I also want to add before I didn't have to hold the switch to start it, it started just fine before crossing cables.

0625171646.jpg

I also want to add I replaced the starter solenoid with a 4 pole solenoid, here is a picture of how I have it wired in case it is incorrect.

0625171647.jpg

Attached Images

• 0625171646.jpg (144.0 KB)
• 0625171647.jpg (104.6 KB)

Briggs and Stratton 18.5 Twin Cylinder Won't Start