I know nicotine is a vasoconstrictor--does raise the heart rate?

Yes and no. As nicotine constricts the coronaries, it also increases vascular resistance to blood flow. For the heart muscle to receive adequate blood flow , it has to increase heart rate so that per unit of time and rate, diminished blood flow is compensated. Subsequently, cardiac output increases and blood pressure will also increase. A severely high BP may in time slow down heart rate as a reflex mechanism.

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Swollen glands, raised heart rate and temp 37.4 feel tired but otherwise fine?

Viral. Fast heart rate and swollen lymph nodes could be indicative of a developing viral infection especially this is fairly acute in nature and would follow it closely and if symptoms worsen of the next want to do days then suggest infectious disease consultation especially if other symptoms develop. Read more...