Unable to access wp-admin / Dashboard

[ Moderator note: moved to Fixing WordPress. ]

I can’t log in to wp-admin of my site (worldpeacesolutions.net/wp-admin/). There are several login elements currently. Access to Site admin is impossible with Safari and Chrome. On Firefox up comes a preliminary login:
https://www.worldpeacesolutions.net is requesting your username and password. The site says: “WordPress attack protection CAPTCHA. Enter username: 5jkw76 Password: The result of math 23+9
(this login page started over a year ago; I was told by my hosting service (HostMetro) there was a problem accessing WordPress; Firefox was the only browser which worked and to enter as directed. From this page, after entering as directed, I was taken to the normal log in page and could access the Dashboard.)
However, now there is a new login page which states:
“Log in with WordPress.com. You can now save time spent logging in by connecting your WordPress.com account to Meditation, Yoga and World Peace.
Or
Log in with username and password
← Back to Meditation, Yoga and World Peace
Logging in with the WordPress.com button/link does not work. It looks like the page is about to enter Dashboard, but is then redirected to:
https://www.worldpeacesolutions.net/wp-content/themes/hueman/assets/admin/css/hu_admin.css?ver=3.3.4
Hueman is my website Theme. Perhaps there is a blockage there. It leads to an unformatted version of the home page of my webs site (not the Dashboard) with no images, and then goes blank.
So I click on ‘login using username and password’ instead, which leads to the usual WordPress admin log in page. I enter my standard username and password and this takes me to the same link as above: https://www.worldpeacesolutions.net/wp-content/themes/hueman/assets/front/css/main.min.css?ver=3.3.4. Same result as above; unformatted home page and goes blank.

My hosting service says they are able to access Dashboard admin area no problem, and they sent me a screenshot of my admin area for my site. However this screenshot does not include all the normal elements of my site with the various plugins not evident on the left panel.
In the last weeks, before which I had no access problems, the hosting service must have crashed because my site was down for 2 weeks, and they said since they had transferred my site to a brand new server. Now I can’t log in to the admin area.

I am not a power user and don’t do WordPress code. But I have considerable familiarity with the WordPress elements and in using some aspects of cPanel on the hosting service. I have been locked out for 3 weeks now and simply don’t know how to proceed. If someone can assist I would be grateful.