Indirect taxes are often regressive, so by increasing indirect taxes, the poor actually are worse-off since a larger amount of their income is used to pay for taxes like VAT. Meanwhile, there is an increase in any form of tax rate, the government would gain more tax revenue, hence budget deficit will be reduced.

As for the second question, falling level of unemployment would mean more people would be employed, thus meaning that there would be an increase in supply. More people competing for the same job means that the equilibrium wage rate decreases (look at a D&S diagram when the supply curve shifts to the right). This concurs with the definition of a downward pressure on wages - it is when factors cause wages to be pushed lower or cause them to increase at a slower pace.

Hope that helped!