Multiple issues after battery replacement

I have read all of the other threads here regarding battery issues after replacement - but looking for a little additional help.

When first changing the battery and putting it back together I had the issue where the Surface only worked when plugged in, but would turn off if charger removed.

Following some of the different suggestions here I made sure that:

• the emi shields were not touching any components
• pins on underside of mainboard werent "messed up" and touching battery contacts correctly
• tried to check the Schottky Diodes but not sure how to actually read the results that I got - though they seemd to match expected?
• did not check fuses

*

And now the best part - the Surface does not work even when plugged in now. Did I mess something up in my investigation?

Two things that I did notice, which could answer my question. The first image shows a component that looks like it was damaged. The second image shows where I had an issue with some thermal paste that went a little wild...