Let m be the mass of the satellite.
The potential energy of the satellite is
U=r−GMm
The velocity of the satellite is given by
v=rGM
Kinetic energy is given by
K=2mv2=2mrGM=2rGMm
The total mechanical energy is the sum of potential and kinetic energy. So,
T=K+U=2rGMm−rGMm=−2rGMm
Hence, both the statements are false.