I'm glad you're enjoying it! And nice choice of Vpet shell color ^^
As for the fridge freeze feature to pause the game without closing the app, would the Pause menu suffice? While it does show the Configuration, Save and Exiting options, it allows you to stop time from progressing. Another way of keeping the game on without time progressing is actually while in the Library menu, since I wanted people to be able to browse the digimon they've unlocked and their digivolution requirements without having to worry about wasting in-game time.
In regards to the item drops, they can be an issue early game, that is true. I wanted for the initial stages of the game to give a feeling of scarcity, and maybe prevent ideal digivolution paths. However, if it's food, the game does guarantee 100% drop rate for almost every food item if your inventory has less than 6 of it. And for Bandages and Medicine, they do require you to know which Areas have digimon that can drop them, to grind them if you are low on healing items (or to keep a mental note if you do notice such an Area). Was there a specific type of resource you noticed you had the most issues with?
Thank you for your feedback and suggestions! I'll keep them in mind, and I'd like to know if the Pause menu/Library options would satisfy your first suggestion, and if you keep having resource issues while raising your MoriShellmon. I hope it can grow to your liking!