It is possible.
First, you did the math correctly, a center-to-center distance of 45500 km would result in geosynchronous orbit assume mass = 1 earth.This is well beyond the Roche Limit, so you bodies are stable.
Whether this could happen is entirely dependent upon how fast the rotations were at the initial conditions. For our Earth and moon, the initial conditions result in a mutual tidal lock in about another 50 billion years -- though the expected red-giant phase of the sun may make this a moot point.
Certainly Venus is spinning much slower than Earth even though the planets are very similar in other ways. So there is clearly great variety in initial conditions and/and events history to get us to this point in time. Your system is certainly within the realm of the possible.
Since your planet is mutually locked with your moon, there is actually less tidal stress since the moon is always in the same place in the sky. Your planet would be stretched a little more in the moon direction because the planet would time to fully adjust -- bust this does not mean more strain. Earth bulge due to rotation is many times as large as tidal bulge, but the important factor is not how much out-of-spherical it is, it is how how strain in induced because of regular orbital cycle.
Your planet tidal strain would be only that of the sun, which presumably would be similar to Earth. On Earth, solar tidal force is about 46% of the lunar tidal force. So, still some tidal strain, but only about one-third as much as on Earth (tidal forces are additive).
The difference in Planetary shape due to tidal locking is negligible on Earth (only about 1 meter in the deep ocean).However, since tidal force in your case is based on a moon 0.71 times the moons mass, but 8.4 times closer you should expect a permanent tidal bulge of about 428 meters in deep ocean. 921
Less over land (rock is heavier than water). May sound like a lot, but you would never notice it without good instrumentation.
If you want tidal strain, it is easily accomplished. Just make the moon's orbit eccentric. Because your moon is so close, the tidal effects are magnified considerably. Our moon varies from 363,104 to 405,696 km., a bit over 10% variation. Because tides are proportional to distance cubed, a 10% variation results in a 33.1% variation in tidal force. This would result in very significant tidal stress, large ocean tides, etc. The local residents would definitely notice these tides and would be able to correlate them to apparent changes in the moon diameter. 188