Just to make sure the concept is clear, inelasticity means the supplier is less responsive to price. Elasticity measures if I change price a tiny tiny amount, how much does quantity change. If supply is really elastic, a change in price will cause a large change in quantity supplied. If supply is really inelastic, a change in price would cause a very small change in quantity.
Now let's consider each option in turn:
a shorter time period in which to supply the good
If its a shorter time, supply will be more inelastic. Imagine you sell bananas, and your timeframe is a week rather than a month. For the week, you need to sell those bananas no matter the price, otherwise they will go bad. But if the timeframe is a month, you can adjust how many bananas you bring to the market to sell.
b) a small demand for the good
This does not make supply more inelastic, as a small demand means that if the price changes a little such that it's not worth it for you to supply, you stop supplying it.
c) a high degree of substitutability between inputs
This makes supply more inelastic, because if prices of inputs change you can switch your input to the cheaper input and continue making the same amount of output.
d) the use of inputs that are easily obtained
This doesn't affect elasticity, because being easily obtained has no bearing on prices.
e) a more inelastic price elasticity of demand
This would not affect elasticity of supply, because the two sides in this market are separate.