Looks like the internal strobe is not firing then I would guess. If you are that close some light should hit from the internal strobe (24mm means you are darn close there). Make sure you are setting the camera to force flash, if it is automatically setting ISO to 50 with a shutter speed of 1/1000 it looks like the camera thought there was too much light to fire. Same for the other shot. You are very close to both subjects (good job on that) and if I had to guess the lack of the internal strobe firing is the issue, there should have been some flash hitting even if not very strong or even. (I have used the internal flash on an Olympus 3040 and not as close to subjects as you are and it will throw off more light than I am seeing in your pictures which is why this seems to be the issue. If I forgot to set the camera to force flash I would get the same results.)
Try setting it to Manual and force flash either by the camera setting (you can set the camera to force a flash no matter what) or dialing the f/stop up (larger number f/stops than 4.9) and/or adjust the ISO. I would just set the camera to force flash. The shutter should be in the range of 1/80 - 1/125 as a start.
PS: The SP-350 has an 8-24mm zoom lens so it looks like you were fully zoomed in, you actually also may need to get closer to the image, I was a bit twisted around when looking at the EXIF data. Sorry. Best thing to do is leave the camera at Wide Angle to start and when the frame is filled there then you should be close enough.