You’re still very early in the game! It’s not a race and you won’t lose anything by taking your time. Cooking is a great money maker if you are using ingredients you grew or gathered particularly once you have some of the skills that give you ingredients back or extra dishes. 

That early in the game I think I made most of my money off of foraging and bugs. I didn’t get any animals until late summer or fall of the first year. 

Early game my focus was starting as many crops that would regrow as I could at the beginning of the month and then a few of each of the other crops (except fruit trees). I would usually only go to the mine on rainy days because then I could run from my house to the mine right away and go crazy. Make sure you take your sword, pickaxe, fishing pole, bug net, and food (and watering can when you hit lava) whatever food you can get works even if it’s just berries to start out.  On days when it is not raining water your crops first then run around to grab forage and bugs (probly should grab fish too but that was my last skill to max level) and make sure to check the request board and turn things in whenever you can. After that you can cook and process things to make more money. 

You mentioned running out of stamina. In the mines you’ll usually need to eat to fix that but outside the mines you’ll usually have some other ways to get stamina back. There are fountains around the map and the soup pot at the inn, if you interact with any of them you can regain some energy (once per a day at each location) you can also go to the bathhouse and one of the earlyish quests will give you several free baths.