Specialist evaluation for people aged under 40 years with stage 1 hypertension
Alongside full guidance released by NICE they also produce treatment pathways which give further advice - here is the treatment pathway for hypertension.  You've listed most of the investigations that would be considered in your original question.

Investigations that may be considered as appropriate include:


Urine dipping for proteinuria or haematuria indicative of renal damage
Measuring of plasma urea and electrolytes and estimation of glomerular filtration rate, again as an indicator of renal damage
Measuring of plasma glucose, total cholesterol and LDL/HDL cholesterol to rule out additional risk factors as part of cardiovascular risk assessment - e.g. diabetes, hypercholestrolaemia
Fundoscopy to examine the retina for damage resulting from hypertension 
12 lead ECG to show any changes compatible with left ventricular hypertrophy 
Scanning for the presence of a phaeochromocytoma if clinically suspected


You may also find the professional reference page on hypertension from patient.co.uk useful.