So I was in your boat last year at this time, and I didn't do all that the experts recommend. The results were that I blew the engine.
So if you want to ensure that you can keep running this summer, spend some time and make sure all things are fixed:
1. Change the Fuel Lines - You already did this.
2.
Pull the carbs and rebuild them using ONLY genuine Mikuni part, including needles and seats. I have heard the experts say many times, if it is a new to you ski, the best way to go is not to only clean, but to clean and rebuild with only Mikuni parts.
3. Replace the Fuel Selector switch.
4. Replace the gasket in your fuel filter(water separator) which is the part with the fuel line missing.
Now with the question about the oil, it indicates to me that you are just beginning your journey, just like I was last year. Here are some more things that are common points of failure.
5. Drain oil from tank. - As stated by CKRawiec, who knows tons more than me.
6. Replace the oil Filter
7. The oil lines leading from the pump to the intake manifold need to be checked. They can become brittle and break, which will cause a failure.
(When I replaced my filter, I changed both the lines leading up to the pump, and the ones from the pump to the intake manifold. I wanted to ensure that I had the best chance for it to work well long term)
On my ski, steps 5-7 were done with the engine out. I don't know how hard it is to do in your ski with the engine in.
I would also recommend you doing a fuel system pressure test. I am linking to the results of mine. As a result of this I replaced the selector switch and all the fuel lines, even though they had already been replaced before and were not the grey tempo lines.
Here is the result of my fuel pressure test:
Those are my recommendations.
Ken