If your goal is just to make money and/or have your own dedicated storage then the system in the OP would be fine.
The Terran world would make an excellent cash cow just with the food and organics alone, and any extra industries you put on it would only add to that.
The barren world with ultra rich rares would make a decent mining/refining colony.
The above mentioned planet with multiple decent resources is a great find if you just want a money fountain.
You should definitely always look to colonise at least 2 planets in any system you want to permanently inhabit though. It makes defending them noticably easier when you have a 2 military bases generating patrols, even if they're only dinky things from a size 3 or 4 colony.
Personally, I really dislike colonising in multiple systems. Each system you inhabit can generate 'pirate activity' events which requires interverntion to remove the accessiblity and stability penalty it imposes.
Doing it for more than 1 system is micromanagement I'm just not interested in subjecting myself to.
I won't make permanent bases in more than 1 system, but I will plant temporary tech mining colonies to extract loot from. Those are ignorable tbh.
If I were in your position, I would not colonise that first system.
Reason: It does not have all resources present in useable quantites.
I'm looking to colonise a system rather than a planet, and the criteria I have for selecting a system is:
Spoiler
System as a whole must contain
At least 1 stable location.
Minimum resources
Food: -1
Ore: +1
Rare Ore: +1
Volatiles: +1
Organics: -1
Food will always be on a habitable planet - this will probably be my 'main' colony.
Organics will likely be on the same planet as the food.
It is possible, but very unlikely the ores will be on the same planet.
The volatiles will never be on the same planet as the food.
Above resources will be spread over multiple planets.
2 or 3 is preferable. 4 is acceptable, but I'd rather have less.
Moons of gas giants are particularly attractive as they are easy to get to from hyperspace, and easy to manage.
These are a preference.
Planet + Moon combos in general are nice.
Resources must be a certain level to fully supply the industries that depend on them. The reason why you want to do this is you get a reduction to your upkeep costs based on how much you can cover your own needs.
This can be as high as 50%.
I will be picking up the Industrial Planning skill, so I'll be getting +1 to the output of everything.
If you don't get this skill you'll need planets with the following:
Food: -1
Ore: +2
Rare Ore: +2
Volatiles: +2
Organics: 0
Which is a fair bit more time consuming/frustrating to find.
Hazard rating, not too concerned about.
How useful all that word salad is to you depends on what you want to do with your colony.
And with how much you care about avoiding events and giving yourself maximum upkeep discounts.
If you take away nothing else, just take these 2 things:
Don't get so hung up on the hazard ratings. It really doesn't matter all that much.
In any system you permanently colonise, always build at least 2 military bases.