Definitely sounds like your WDH needs to be re-adjusted. Also, the WDH isn't designed to "level" your TV, it's main function is to "return weight back" to your TV's front suspension for proper steering and braking integrity.
With your "loaded" TT unhitched from your TV, measure from the front wheel-well to the ground. Now hitch your TT back to the TV...., now re-measure your front wheel-well height. The objective is to adjust your WDH so you return the front suspension back to it's "unhitched" height as close as possible (not below unhitched height).
With most TV/TT combinations raising the TT with the TT's tongue jack (with TT hitched to TV) will make it easier to engaged the spring bars. Also, most TV's will have a rear suspension squat of 1" to 2" after proper WDH adjustment.
The WDH installation instructions will have adjustment instructions, if you don't have the WDH documents, post the brand and model of your WDH and we may be able to direct you to the appropriate documents.
Oh, if you can refer to chain links "under tension", this will help others with their responses. Not sure if your statement of "Chains are on the 2nd link" is under tension or hanging loose. Thanks in advance.
If you have the time, a visit to the CAT scale will dial-in any WDH adjustment and confirm your weights. Also, the CAT scale will confirm that your TT's loaded tongue weight is 13% to 15% of your TT's gross weight....., a light tongue weight can induce TT sway as well.
CAT scale how-to: http://www.jaycoowners.com/forums/f3...v-tt-3871.html
As mentioned, if you don't have a manual friction sway control bar(s) it is highly recommended.
Hope this helps.