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With such a small FOV there will be times when you fail to obtain sufficient stars to plate solve. The minimum required in pinpoint is 6 but that is a user setting and not a very reliable one. Next you need to ensure that what can be detected in your images as stars reasonably closely matches the number of stars identified int he catalogue. Have you defined a limiting magniutde for your catalogue - or is one defined for you? Pinpoint typically expects your pointing images to at least get to magnitude 18. Again it's a user setting.
Lastly, how good are your stars? Are the actually donuts? is the FWHM to large, are they over exposed, have you flat fielded and applied darks t them? The main issue other than number of stars is the software recognising the stars in your images as stars.
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