You can certainly dive from your own boat. You will need to check with the governing state for the waters if there are specific requirements for dive flags (size and position and type). Your boat should be equipped with a means of re-entering the boat safely, obvious to most. You will need proper anchoring gear and enough rode for the depth and expected conditions, for temporary anchorage in benign conditions, usually about 3:1 with a good anchor and enough chain (usually about one foot per length of boat). You would also want, a depth finder/chart plotter/GPS and a VHF com radio, a cell phone is NOT a substitute for a working VHF. As well, whatever USCG and state safety equipment such as flares, life jackets. A PLB is always smart.
Do not anchor in a channel or area of passage. That should be common sense but it is not always clear. As far as your diving practices, that is up to you. If you want to solo or buddy dive, do as you wish and are equipped and trained for. In benign conditions, near shore, no current, then under such conditions, I have and do and will dive without leaving my boat tended but I also stay within sight of my anchor. However, it is always best to have somebody on the boat who can operate it. And clearly if diving far from shore or where current, wind, waves could drag or break the anchor free and endanger the boat, yourself or other boaters/property you should have the boat attended.
Tanks rolling around when underway are a hazard, a means of good storage, such as Roll Control tank holders or a homemade solution will be needed. Make sure to have a first aid kit. If you are diving deep and pushing limits, O2 might be smart but for shallow diving I do not see that as needed.
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When you are the skipper and DM, you are the boss and you are responsible.
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