Well, sure, I'll dive with a new diver.
I'll dive with most any diver as long as we have the understanding between us that (i) we're being honest with each other, (ii) we plan a dive which we're both comfortable with, (iii) we dive the plan we've made and (iv) either of us should (not just "can" or "may") thumb the dive if at any time we're not comfortable -- no questions asked.
I've occationally been diving with "new" divers, who failed misserably at (iv) -- failing to thumb when they got in the water and realized that they were no longer comfortable with the planned dive (e.g. "cold" is a common factor where I dive, yet many new divers do not want to admit to being cold and not able to stick the dive out). If I discover such discomfort in a buddy, I thumb the dive since at that point I am essentially diving solo with a trust-me diver who's not too comfortable. Not a good combo.
I may refuse to buddy up with someone for a specific dive if I estimate that the dive will be beyond that persons capacities or training. I.e. I've refused, to buddy up with a freshly minted OW-graduate on a boat (much to the captain's, DM's and diver in question's irritation), where the plan was for a 60m wreck-visit...on air, with deco. I couldn't think of any ways that would be prudent for the freshly minted OW, so I refused.
Otherwise, if the dive is within reasonable parameters, I'll happily dive with any new diver.
As for solo-diving: I don't mind diving solo as such, and I do enjoy doing some solo-dives when the situation calls for it (other than the dives where I'm physically alone in the water, I consider that essentially every dive with OW students is a solo-dive, to the point that the instructor must be self-reliant). However that's then the plan from the start, and the plan then calls for substantial redundancy of everything. I'll strongly discourage solo-diving, however, unless trained and proficient in self-sufficiency. Think: technical cave and wreck training, where redundant-everything, as well as very good dive-skills and familiarity with every single detail of the equipment is the mantra. And even so, most of the experienced cave and wreck folks tend to dive as a team.....there must be a clue in that somehow...
You're probably going to get a lot of answers along the lines of "if you have to ask if solo diving is OK, then you're not ready for it". There's much truth to that too -- if you do not feel absolutely confident and convinced that there're no issues you can't handle alone under water during your planned dive, then you are not ready to do that dive alone. If you do the dive otherwise, then you might have to be ready to die alone too..
Besides, diving with someone just IS so much more fun

If people around you refuse to go diving with you because you're not "advanced enough", then find some less arrogant people to go dive with. That too will be more fun.