Based on a single act of unprotected intercourse on the day you indicated, among couples with average fertility there is a 15% probablity of pregnancy.
Keep in mind that young adults tend to be more fertile than older adults, so this probability could be higher.
But, since you indicated that there were additional acts of intercourse, this probability could be higher.
If you did conceive that month, you would be 4 weeks pregnant.
It could be too early to detect pregnancy symptoms.
The symptoms you listed -- nausea or vomitting, fatigue or needing extra sleep, weight gain and/or feeling bloated, changes in appetite, frequent urination, sore or tender breasts, odd sensations in the abdomen -- are all typical of pregnancy.