Concept:
Paget's disease of bone is a disorder of excessive and disorganized bone remodeling. It commonly affects elderly patients and causes bone pain, deformity, increased skull size, and raised alkaline phosphatase with normal calcium and phosphate.
Step 1: Identify the clinical clues.
The patient has:
\[
\text{Enlarged hat size + shin pain}
\]
This indicates skull and long bone involvement.
Step 2: Interpret laboratory findings.
Alkaline phosphatase is elevated, but calcium and PTH are normal:
\[
ALP \uparrow,\quad Ca^{2+} \text{ normal},\quad PTH \text{ normal}
\]
This pattern is typical of Paget's disease.
Step 3: Use radiological clue.
Mixed lytic and sclerotic bone lesions occur due to abnormal bone resorption and formation.
Therefore, the most likely diagnosis is:
\[
\text{Paget's disease}
\]