Redo Website - Angular or JQuery?

I've got an online service that I developed a number of years ago with a fair number of customers on it.  When I originally developed it - Flex/FlashBuilder RIA sites were in vogue - and that's what I developed it in.  I've been reluctant to rework it simply because I'm busy with other things - and it's still functional for it's purpose.  It's desktop - nobody worries about mobile for it - etc...so the fact it had a Flash based UI was sufficient for the time being.

However - as you know - that's changing.  So - I'm going to have to bite the bullet and rework the site.  I'd like some input on what to do it in.

Here's the general layout/functionality:


A, B and C are panels.
C is an accordion - which serves as a media bin with the accordions set by media type.
B & C are a lists of items collected via a RESTful API (delivered via JSON).

User selects media files from C and drags them to B, to append items to the list.  When items are dragged/dropped - the results are logged into a database via that same API.

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I'd like to keep that drag/drop functionality - although if it turns out to be too big of a hassle I suppose I could just append buttons to the individual media file list items.

Given all that - if you were starting that out from a fresh perspective - would you do it via jQuery or Angular?

Thanks!