A source of error is something that could have caused you to obtain an incorrect result.
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The same units as the mean itself. If the units of the mean, are, for example miles; then the error units are miles.
Standard error is random error, represented by a standard deviation. Sampling error is systematic error, represented by a bias in the mean.
A biased error is one that is caused by a factor inherent to the source of the error. An unbiased error is one that comes from anywhere.
The standard error of the underlying distribution, the method of selecting the sample from which the mean is derived, the size of the sample.
The standard error increases.