Is there a quick fix for varicose veins?

No. Depending on their size they can be injected with a sclerosing agent or lasered, but there is no quick fix.
Yes. There are now wonderful, minimally invasive, outpatient procedures performed in the office setting, under local anesthesia, with minimal downtime, to treat your varicose veins. The old days of having to go through painful, brutal, traumatic vein stripping are long gone. Look for an experienced vein specialist who performs laser closure, or laser ablation, and you will be very happy.
No. While there is no quick fix for varicose veins, the latest treatment options are safe, effective and require minimal downtime. The days of stripping and hospitalization are no longer necessary! most patients can be treated in the office while awake with endovenous ablation in which a laser fiber is placed inside the vein to seal it shut). Sclerotherapy can then be used to treat smaller veins.
Depends on "quick" Although varicose vein treatment nowadays is nothing like it used to be, with major surgery and prolonged hospitalization and recovery a thing of the past, still it takes a number of weeks before you see the final results of the treatment. Healing takes time and it takes awhile for the "dust to settle." all in all, though, treatment is still much better than it used to be.
Sometimes. Depends upon the location, size, & severity of the veins as well as the underlying anatomy of your leg veins. Sometimes all that is recommended in compression stockings. Other times a simple intervention such as a single session of sclerotherapy can fix the problem. Other times the condition may require more significant intervention such as endovneous ablation or vein surgery. Seek vascular MD.
See a vein doctor. Varicose veins are usually due to malfunctioning valves is the saphenous veins. This can be diagnosed by a venous reflux ultrasound. You should see a vascular surgeon or a vein specialist. The gold standard for varicose vein treatment is to seal the leaking valves with a laser or radio frequency catheter.