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.
1 Swelling of 1 eye is often due to an insect bite. Mosquito bites are a common cause. It can also be from an irritant e.g. food transferred to the eye by the hands.  Suspect mosquito bites if there are bites on other parts of the body. Insect bites of the upper face can cause the eyelid to swell. This can last for a few days. With insect bites, the swelling can be pink as well as large.