Thanks for posting those error logs. As you suspected, they all stem from similar errors. A JSON parse error usually means that Plugin Parameters have not properly been initialized. Let's resolve these one by one.
First error is in the Card Summons plugin parameters. The Stats to Display struct parameter value needs to be refreshed. Refreshing the plugin parameter which is a simple matter of double clicking on the parameter, making sure there is a value in place and then hitting Ok and applying the changes.

If you do not wish to use this parameter, then make sure the struct is at least empty. When its empty, it looks like this (pair of square brackets)

Also, will recommend the following Plugin Order change (putting Card Summons Core on the bottom):
- MYTH_UTIL_WindowResizer
- MYTH_CGC_CoreEngine
- MYTH_CGC_CardTypes
- MYTH_CGC_EquipCards
- MYTH_CGC_PartyUI_TypeA
- MYTH_CGC_HelpBoxControl
- MYTH_CGC_BlockGenerate
- MYTH_CGC_ActionPack1
- MYTH_CGC_CardCollection
- MYTH_CGC_TextFormatPlus
- MYTH_CGC_DeckEditorCore
- MYTH_CGC_CardShopCore
- MYTH_CGC_CardSummonsCore
That might clarify what is happening with the Deck Editor and Card Shop interactions as these three plugins generally don't talk to each other.
Let us know once you have made the changes and run the game. If this error has been resolved, it should no longer appear in the console log. Check the console once again and see what errors are there after this change and post the error logs on your next reply. We'll continue troubleshooting from there.