Nice first attempt.
Few tricks from a white guy who now has to cook for my Mexican in-laws.
Use cast-iron skillets for the meat and veggies. Get them hot on high heat and then toss your meat and veggies in. This will get a good sear going. Wait to blacken a few peices then stir and cover to cook.
Seasoning the meat- add in a bit of teriyaki sauce with the other spices. It blends really well. Don't tell mi suegra... Mix the seasonings together and marinated for 30 minutes in the fridge prior to cooking.
You really have to make some fried rice with that. It's really easy to do. Pour a little corn oil into a pan with dry rice. Stir until all the kernals are coated. Cook on high heat stirring constant until they turn white and start to brown. Pour in the water mixed with caldo de tomate (chicken bullion with ground dried tomatoes). Cook the rice covered as normal. Takes about 20 minutes.