Explanation:

Price elasticity of demand for a good is defined as the percentage change in demand for the good divided by the percentage change in its price. Demand for some goods is very responsive to price changes while demand for certain others is not so responsive. Price elasticity of demand is a measure of the responsiveness of the demand for a good to changes in its price.
The price elasticity of demand for a good depends on the nature of the good and the availability of close substitutes of the good. Consider, for example, necessities like food. Such goods are essential for life and the demand for such goods do not change much in response to changes in their prices.

Statement 1 is incorrect: Demand for luxury goods can be highly responsive to price Changes. In general, demand for a necessity is likely to be price inelastic while demand for a luxury good is likely to be price elastic.
Statement 2 is incorrect: The demand for a good is likely to be elastic if close substitutes are easily available. On the other hand, if close substitutes are not available easily, the demand for a good is likely to be inelastic.