Q: Weird things on screen and watch won't charge

Your watch is probably too hot. Keep it in a cool room to let it cool down. The third display is a temparature warning.

Try charging again, after the watch has cooled down.  If you are using a charging case, keep it open.

https://help.apple.com/watch/#/apdcf2ff54e9

For the operating temperature requirements see this page:  Keep Apple Watch within acceptable operating temperatures - Apple Support

Apple Watch is designed to work best in ambient temperatures between 32° to 95° F (0° and 35° C), and should be stored between ambient temperatures of -4° and 113° F (-20° and 45° C).

For example, Apple Watch shouldn’t sit unattended in direct sun for long periods, undergo dramatic changes in temperature or humidity, or be left in a car on hot days. Storing and using your device outside of the recommended temperature range could shorten its battery life or cause other damage.

Learn about temperature management for Apple Watch

If necessary, Apple Watch will regulate its internal temperature. There are several things you might notice if this happens:

• Charging times might increase, or charging might stop
• The display might dim
• A temperature warning screen might appear
• Data transfers could pause or slow down
• Apps might close

If your Apple Watch experiences above-normal temperatures:

1. If you're wearing your device, turn it off and remove it from your wrist.
   If your Apple Watch is in the process of charging, remove it from its charger.
2. Move your Apple Watch to a cooler place and let it cool down before putting it back on or continuing to charge it.

My main concern was the fact it was showing the first two graphics but doesn't seem to be doing anything more.

I have seen the three screenshots you posted only after the watch got too hot when charging, but I was in the tropics at that time. It magically corrected itself after I took the watch off the charger,

The snakelike charging cable display could also indicate a problem with the battery.  And it can be shown if it is necessary to restore the watch from a backup, because the watch needs to be set up again, for example, if you entered the code incorrectly too often.

But since your watch has also been showing the temperature warning, the battery problem is more likely. Get it checked, if the problem does not correct itself.

Did the watch get hot when you tried to charge it, even in a cool room?

Good Luck!