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.
I bee/wasp sting can cause a severe allergic reaction, typically with an allergic reaction to such a sting you would see localised swelling around the area in which the animal was stung, this would be quite obvious swelling.