To get to the bottom of it we need to separate the issues, ie you mention in this and other areas about the unable to resolve web sites but then reset the modem and it was fine - from other threads I believe you said you had the modem compromised so that is likely the reason you saw things work with the VPN, however it would be useful to post your software version and the DNS settings to confirm.
So that leaves the VDSL line bounce, however in this and other threads you mention that it's resetting 1-4 times a day, but we see the one reset on the 27th and 30th but it's unclear if those are during testing or happened on their own and the previous one at the start of the month was at 2am and likely maintenance. When trouble-shooting it's important to make sure we have 100% accurate information otherwise we can end up going down the wrong path, ie if this was a line bounce 4 times a day then that's a very very very different potential issue than something that's happened 3 times this month. The signal levels posted have amazing SNR's and doesn't seem to indicate a problem here.
As for having a tech come for free to check things out with the inside wiring, unfortunately not. It sounds like you've made some modifications to connect your ATA (which is not on it's own a bad idea) but if you're unsure if that's done correctly then a local contractor can certainly install a proper jack for the ATA usuablly for under $100 and make sure that it's isolated from your outside line.
One thing that would help would be to keep all the information in this same thread, ie many people here won't bother going to the review site and RFD to piece together parts of it - so if you can post the pictures and confirmed details (being as accurate as possible), along with the software version and DNS pages here it will help form a complete picture and many others from this community will probably be happy to assist.
As suggested in the other thread, personally I'd start with making sure the software is updated via »www.start.ca/files/srupdate
and that the DNS is set to automatically obtain as well as ensuring that the remote access from WAN interfaces are disabled - this can very much be the case if you have an exploit that is resetting the connection and changing DNS settings, etc.
Once we have all the information then we can help make some recommendations.
Also, if you PM me your account # that'd be helpful so I can review past trouble-shooting and current line statistics.