After having sex for a first time with my girlfriend I noticed I got 2 tiny spots on my penis, is it something I should be worried about?

See answer. "spots" on the penis may be due to a variety of causes: inflammation, irritation, infection (bacterial, fungal, std), or a specific type of dermatitis. Two tiny spots as you describe, especially if occurred with 24-48 hours after sex, are likely not infectious and more likely related to local irritation (friction of sex, sensitization to chemical in spermicidal, lubricant, or condom).