Is There Anything That Can Speed Up Reducing Swelling After A Lower Face Lift and Neck Lipo?

That is an excellent question. Much of the swelling is from bleeding during the procedure. To reduce this, your plastic surgeon should give you a list of medications, supplements, and foods not to eat for three weeks prior to the procedure. This would include aspirin, anti-inflammatories such as Advil and Aleve, fish oil of any kind, garlic, vitamin E, eating salmon and tuna, etc.
Following the procedure ice can be applied to  your face providing you did not have fat grafts (transfer), and this helps tremendously. Remember that the maximum swelling is usually the second postoperative day, so if you can keep the swelling down for those two days, there is less swelling that needs to go down after those two days. Keeping your head elevated in the semi-reclined position helps too.
Personally, I like to use drains, one in front of the ear and one behind the ear that goes into the neck region. This invariably drains some blood from the face, which reduces the swelling. I have tried hundreds of facelifts with and without the drains, and there is no question that drains reduce the swelling postoperatively.
Supplements are available without vitamin E, and we offer these to you all about facelift patients. Other than these suggestions, I can think of no other measures that you can take to reduce the swelling.
"Mini-facelifts" generally have less swelling, but the results are compromised and not long lasting in my opinion. Also, they do not look as natural as a full facelift. For another few days of swelling, a full face lift will give you long-lasting results, which through the years have demonstrated that it is a far better procedure.
Thank you for your question, and best of luck to you.

Thank you for your question.  Yes the surgeon can be gentle with the tissues and also drains for two or more days or as necessary  as will as the use of ultrasound early after surgery.

It seems that your recovery after surgery is going okay. After two days, the swelling is at a maximum and then starts getting better. 
To answer your one question, yes usually it is not uncommon for things to be swollen after a facelift or neck lift or liposuction. Usually it's worse the first week but gets better every week. I know it's hard to be patient after surgery. In general, keep your head elevated as much as possible and sleep with several pillows under your head and shoulders. Avoid salty foods as they will make you retain water, and keep hydrated. Some people recommend certain supplements but I have not really found that these aid significantly in recovery.
If it does not settle, you can undergo corrective surgery with additional surgery.  I would recommend that you see a board-certified plastic surgeon in your area that is a member of both ASPS & ASAPS and performs a lot of facelifts if you want a second opinion and of course, make sure you follow up with your own surgeon and talk about this if you have concerns that linger. 
I hope this helps and wish you all the best in your surgery and event. If it does, please take a moment to up vote this answer on the “respond” button on the top right.