What are the causes of dizziness & short term memory loss?

Many things. Many things. These 2 symptoms are common in dozens of diseases. Must see your doctor. First to rule out are: 1. Accidental otc drug overdose; 2. Psychological problems, such as depression or acute panic syndrome. 3. Heart beating abnormalities. 4. Ear, sinus infections. 5. Then work onto possible diabetes, ms, alzheimers and dozens of other illnesses.
Complex. Many potential causes. See my other recent answer.

Related Questions

I suffer from short-term memory loss and I feel dizzy every night. It affects my studies sometimes and I drink coffee a lot. Qhat should I do?

See a physician. These difficulties are not usual in a person your age. Please get a complete physical exam as soon as you can to rule out a physical condition/illness that would cause these symptoms. It would also be beneficial to stop use of any mind-altering substances. Read more...
Not memory loss. You are too young to suffer memory loss. I would suggest getting an evaluation for Attention Deficit disorder. One of the signs of this condition is impaired concentration. Sometimes, impaired executive functions will affect your working memory, essential for learning and processing information. Ask your doctor for a referral. Read more...

The veins are showing up really well on my chest, like drawn on. I have been experiencing vertigo and short term memory loss for about a week.

Dont' seem connected. These are hard to explain in any parsimonious way. Vascular problems in the chest are not likely to cause vertigo and problems in the head aren't likely to cause vascular congestion in the chest. Neither of which is likely to produce an isolated short term memory loss. I think you should see your doc to help put this together. Read more...