Edit - this answer is for the original un-edited question and is not really applicable to the small single stage rocket launch in the question as it now stands which will hopefully get a more specific answer.
There are probably better books but Rocket Ranch talks a lot about the Apollo era infra structure and things that might have been done other ways.
See also the associated website
Unsure if there is a shuttle era or Russian equivalent in book form. Wikipedia hasa page covering many of the shuttle systems
Where you physically put the pad is a question on its own.
With the pad itself you have:
The infrastructure to physically get rocket to the pad-road/rail/crawler
Structure to lift it onto/tip it up at the pad.
Structure to hold it on the pad and release it cleanly on launch.
Structure to keep weather away from critical parts.
Structure to get people to the rocket to prep/service all the parts that need pad access.
Structure to get all access ways clear of rocket during launch.
Storage at safe distance for propellants.
Storage at safe distance for other hazardous pyrotechnic etc items.
Safe location for emergency team.
Emergency systems for the pad (leak detection, fire fighting, inerting/dilution of toxic compounds), also need bunds and containment for worst case leaks.
Emergency escape for crew and/or support staff to safe distance.
Ground support hardware for rocket (cooling, power, data).
Method to reliably disconnect the ground support hardware.
Sound/vibration control - much of the water spray seen around launch pads is sound control.
Flame trench and exhaust management systems.
Range access control systems (fences, air/sea radar).
Tag in/out system to confirm all people safe (that does not make actual work impossible).
Safe location for launch control people and equipment.
Locations for instrumentation to observe launch without sensor destruction.
Lighting rods.