BackUpWordPress and other plugins Conflict

I have several plugins, as follows:

BackUpWordPress (Version 3.1.0 | By Human Made Limited)
Contact Form 7 (Version 4.0.3 | By Takayuki Miyoshi)
Contact Form 7 Customizer (Version 1.03 | By Miguras)
Custom Header Extended (Version 0.1.1 | By Justin Tadlock)
Disable Comments (Version 1.2 | By Samir Shah)
Image Widget (Version 4.1 | By Modern Tribe, Inc.)
Maintenance (Version 2.4 | By fruitfulcode)
myStickymenu (Version 1.8.1 | By m.r.d.a)
Revolution Slider (Version 4.6.5 | By ThemePunch)
Ultimate Addons for Visual Composer (Version 3.8.0 | By Brainstorm Force)
WooCommerce (Version 2.2.10 | By WooThemes)
WooCommerce shortcodes for Visual Composer (Version 1.4 | By Anpsthemes)
Woocommerce Styler (Version 1.01 | By WordPress Gurus)
WordPress Importer (Version 0.6.1 | By wordpressdotorg)
WordPress SEO (Version 1.7.1 | By Team Yoast)
WPBakery Visual Composer (Version 4.4.1 | By Michael M – WPBakery.com)

My theme is a bespoke theme. Everything was working absolutely fine up until yesterday afternoon. The Ultimate Addons for Visual Composer plugin needed updating for some time, and for some reason or another, it wouldn’t update, so I left it. There was also another plugin yesterday that needed updating, so I clicked to update it. When it updated, the dreaded “Internal Server Error” message appeared. Today, I renamed the plugin folder in File Manager (my WordPress is being hosted by iPage), which in turn allowed me to log back into the Dashboard (the process also disabled all the plugins). I then put the plugin folder back to its original name, so that the plugins could then be reactivated.

I started reactivating them one by one, so as to eliminate the problem one, but as I did this, they all seemed to trip the server error. I spent all day trying to do this 🙁

This evening, I tried to bulk activate them, and again the server error message appeared. So again, I tried to bulk them again bar the BackUpWordPress plugin, and now everything seems to be ok. HOWEVER, that plugin wasn’t the one that I updated yesterday.

Now, I appreciate that that plugin may be conflicting with the plugin that was updated, but my problem is, is that I need the backup plugin so that I can back everything up. The other problem I have, is that the plugin authors won’t help me without the purchase codes, which my ex-web developer has and won’t give me (long story).

Is there any way to fix this problem without having to buy all the plugins again?

If anyone can help, I’d really appreciate it. I’m not a web designer, or a coder, or anything like that, so this is all quite complicated to me.

Thanks in advance.