Yes: a urine test for albumin and a blood test for creatinine. The results of the creatinine blood test should be used to estimate glomerular filtration rate (GFR), which is a measure of your level of kidney function.
Hives and swelling are considered to be different expressions of the same problem. Hives occur mostly on the arms, legs and torso, while swelling occurs around the lips, eyes, hands feet and genitals and can involve the tongue and throat. It is simply that the skin and mucous membranes in different areas swell in different ways. How long the problem has been ongoing is also important.
A bout of hives usually lasts less than 6 weeks. These hives are called acute hives. If hives last more than 6 weeks, they are called chronic hives. Acute hives often result from an allergy, but they can have many other causes. The medical term for hives is urticaria (ur-tih-CARE-ee-uh). When large welts occur deeper under the skin, the medical term is angioedema (an-gee-oh-eh-dee-ma). This can occur with hives, and often causes the eyelids and lips to swell.