Are you sure they are eggs they sound like tiny snails to me, what did they feel like when you touched them? The shells on the pest snails in my tank are clear when they are tiny, and if you have more dirt on you glass you may get a increse in snails to match.
nether fish is new, I was given both at them same time in a 45l tank a few years ago, I moved them in to a 120l tank just after christmas. It could just be that they are still working out who owns what, but the aggression seams to have gotten worse over the last month or so.
I am in the same postion as you. First time I have used them and would like to keep them going for next year. My plan is to treat them like tender plants and move them to a sheltered place before the first frosts. As they are aquatic I was thinking of putting them in a bucket and bringing them under the pouch. I might also try keeping some in my fishtank but I think the lights will scorch them.