Talk to me about permitting requirements when building yourself

I’m looking at adding an outdoor kitchen in the next year or so. We’re currently planning it out and designing.

Ideally, I’d like to do most of the work myself. My current (rambling) thoughts:

1. Get plumbing run. Hiring plumber to run cold water, natural gas, and tie into sewer line.

2. Hire electrician to run service to the outdoor kitchen. I haven’t given any real thought to this yet. Any suggestions? My meter and breaker box are on the side of the house near where I’m planning on building.

3. Foundation work will be hired out as well.

After plumbing is run, electrical service is established, and foundation is poured I’d like to do most of the rest myself:

1. Framing and roofing. Depending on what we decide for facade, might have to hire someone for brickwork.
2. Finish electrical (after power is brought to building)
3. Rest of plumbing after the gas, sewer, and cold water are stubbed to the building.
4. Finish out the kitchen appliances, etc.

Hopefully that describes my thought process. I feel plenty capable of doing this myself. But I don’t know the permitting process in Baton Rouge. I could get construction drawings drafted with all necessary detail for permitting for $1,500.

Would I be allowed (?) to do the work I described above myself after licensed plumber and electrician do their parts and I have the foundation poured and inspected?

Sorry for the long, rambling post. Trying to decide if this is a path I want to travel. Feel like I could save a lot of money taking on a lot of this myself. I like doing the work, but don’t want to run into a bureaucratic nightmare.