I am an electrical engineering student from Germany, and I like to build my own devices in my free time. I have only got limited mechanical experience, but I can deal with electronics just fine. I do already own a 3D Printer, but I want to be able to machine other materials in the future as well.
For this purpose I have been looking at mostly entry-grade machines, and have been reading posts here and in other places, but I am effectively stuck. So this is the point where I ask for help.

What I need the machine to do is the following:
- Machine Wooden Parts (For example furniture parts)
- Machine Plastic Parts (Things like Acrylic Plates or plastic enclosures)
- Engrave and cut Aluminium plates (max. 5mm thick, mostly face-plates, for example for keyboards)
- Mill PCBs up to 300mm x 200mm size
- Around 1m x 1m working area

What I would also like it to do:
- Machine Aluminium Blocks, this can be a smaller work area, I would say around about 200mm x 200mm x 200mm

I know that especially for the Aluminium machining and the PCBs, a mill would be better than a router, which would be better suited for the larger wooden parts. The problem is, that my budget for the whole setup caps out at about 2000€.
I have been browsing around the build sections here, trying to take in the information about what beam layout is best, why supported rail are better, etc., but I struggle to come to a conclusion. What would be the best step to take next? As far as I have gathered, a cheap kit, like the eShapeoko, or an MPCNC, is laden with a lot of problems, regarding the belts, rails, and so on. Is my only option to build a machine from scratch? Is it even possible to get a machine that satisfies my needs for the budget I am having? If not, what would I need to spend to get such a machine? Would it be best to get two separate machines, a mill and a router? Would it be an option to convert a mill for the aluminium parts, getting one of the cheaper routers to satisfy my needs with the "softer" materials?
If this is the wrong place to go so in-depth about this questions, I would appreciate if you could point me in the right direction to post this.

Thank you for any help!