The report gives an F because "This server supports SSL 2, which is obsolete and insecure." I guess that probably is going to apply to a lot of LP servers, not just Mizar. Maybe you should rattle the cage of the admins and ask if there are plans to upgrade SSL? By the way, the report says there's no Heartbleed vulnerability, which is good news (if true).
I've tried email tech support. All I got was a highly defensive email saying nothing is wrong. I tweeted to LunarPages on Twitter, and they said weeks ago they'd immediately update the servers. No such luck.
Basically, anyone who has shared hosting, their cPanel and everything behind the cPanel is vulnerable to hacking.
This could be a legal problem for LunarPages. They've been contacted and warned about this, if the hundreds (thousands?) of shared hosting websites are compromised, all the emails, etc behind that are compromised these businesses have a legal course of action vs LunarPages because LP did not take reasonable efforts to correct the situation after being alerted.